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|Title:||The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies|
Mena, Filipe C.
|Journal:||Advances in Theoretical and Mathematical Physics|
|Abstract(s):||A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein-Euler system. The resulting evolution system is used to show that small nonlinear perturbations of expanding Friedman-Lemaˆıtre-Robertson-Walker backgrounds, with scalar field potentials satisfying certain future asymptotic conditions, decay exponentially to zero, in synchronous time.|
|Appears in Collections:||CMAT - Artigos em revistas com arbitragem / Papers in peer review journals|